TSTP Solution File: NUM495+3 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM495+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 19 11:44:47 EDT 2023
% Result : Theorem 1.90s 2.41s
% Output : Proof 1.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM495+3 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 18 16:58:17 EDT 2023
% 0.12/0.33 % CPUTime :
% 1.90/2.41
% 1.90/2.41 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 1.90/2.41 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.90/2.41 %-----------------------------------------------------
% 1.90/2.41 ncf(matrix, plain, [(947 ^ _138860) ^ [_168116] : [aNaturalNumber0(_168116), xr = sdtasdt0(xp, _168116)], (953 ^ _138860) ^ [] : [doDivides0(xp, xr)], (961 ^ _138860) ^ [] : [doDivides0(xp, xm)], (955 ^ _138860) ^ [_168361] : [aNaturalNumber0(_168361), xm = sdtasdt0(xp, _168361)], (82 ^ _138860) ^ [_141572, _141574, _141576, _141578] : [-(sdtsldt0(_141578, _141574) = sdtsldt0(_141576, _141572)), _141578 = _141576, _141574 = _141572], (92 ^ _138860) ^ [_141931, _141933, _141935, _141937] : [-(sdtmndt0(_141937, _141933) = sdtmndt0(_141935, _141931)), _141937 = _141935, _141933 = _141931], (102 ^ _138860) ^ [_142290, _142292, _142294, _142296] : [-(sdtpldt0(_142296, _142292) = sdtpldt0(_142294, _142290)), _142296 = _142294, _142292 = _142290], (112 ^ _138860) ^ [_142629, _142631, _142633, _142635] : [-(sdtasdt0(_142635, _142631) = sdtasdt0(_142633, _142629)), _142635 = _142633, _142631 = _142629], (2 ^ _138860) ^ [_139004] : [-(_139004 = _139004)], (4 ^ _138860) ^ [_139111, _139113] : [_139113 = _139111, -(_139111 = _139113)], (10 ^ _138860) ^ [_139315, _139317, _139319] : [-(_139319 = _139315), _139319 = _139317, _139317 = _139315], (20 ^ _138860) ^ [_139656, _139658, _139660, _139662] : [-(iLess0(_139660, _139656)), iLess0(_139662, _139658), _139662 = _139660, _139658 = _139656], (34 ^ _138860) ^ [_140072, _140074] : [-(isPrime0(_140072)), _140074 = _140072, isPrime0(_140074)], (44 ^ _138860) ^ [_140395, _140397, _140399, _140401] : [-(sdtlseqdt0(_140399, _140395)), sdtlseqdt0(_140401, _140397), _140401 = _140399, _140397 = _140395], (58 ^ _138860) ^ [_140811, _140813] : [-(aNaturalNumber0(_140811)), _140813 = _140811, aNaturalNumber0(_140813)], (68 ^ _138860) ^ [_141114, _141116, _141118, _141120] : [-(doDivides0(_141118, _141114)), doDivides0(_141120, _141116), _141120 = _141118, _141116 = _141114], (122 ^ _138860) ^ [_142960] : [aNaturalNumber0(_142960), true___, -(true___)], (132 ^ _138860) ^ [] : [-(aNaturalNumber0(sz00))], (134 ^ _138860) ^ [] : [-(aNaturalNumber0(sz10))], (136 ^ _138860) ^ [] : [sz10 = sz00], (138 ^ _138860) ^ [_143389, _143391] : [-(aNaturalNumber0(sdtpldt0(_143391, _143389))), aNaturalNumber0(_143391), aNaturalNumber0(_143389)], (148 ^ _138860) ^ [_143688, _143690] : [-(aNaturalNumber0(sdtasdt0(_143690, _143688))), aNaturalNumber0(_143690), aNaturalNumber0(_143688)], (158 ^ _138860) ^ [_143987, _143989] : [-(sdtpldt0(_143989, _143987) = sdtpldt0(_143987, _143989)), aNaturalNumber0(_143989), aNaturalNumber0(_143987)], (168 ^ _138860) ^ [_144308, _144310, _144312] : [-(sdtpldt0(sdtpldt0(_144312, _144310), _144308) = sdtpldt0(_144312, sdtpldt0(_144310, _144308))), aNaturalNumber0(_144312), aNaturalNumber0(_144310), aNaturalNumber0(_144308)], (182 ^ _138860) ^ [_144714] : [aNaturalNumber0(_144714), 185 ^ _138860 : [(186 ^ _138860) ^ [] : [-(sdtpldt0(_144714, sz00) = _144714)], (188 ^ _138860) ^ [] : [-(_144714 = sdtpldt0(sz00, _144714))]]], (190 ^ _138860) ^ [_145001, _145003] : [-(sdtasdt0(_145003, _145001) = sdtasdt0(_145001, _145003)), aNaturalNumber0(_145003), aNaturalNumber0(_145001)], (200 ^ _138860) ^ [_145322, _145324, _145326] : [-(sdtasdt0(sdtasdt0(_145326, _145324), _145322) = sdtasdt0(_145326, sdtasdt0(_145324, _145322))), aNaturalNumber0(_145326), aNaturalNumber0(_145324), aNaturalNumber0(_145322)], (214 ^ _138860) ^ [_145728] : [aNaturalNumber0(_145728), 217 ^ _138860 : [(218 ^ _138860) ^ [] : [-(sdtasdt0(_145728, sz10) = _145728)], (220 ^ _138860) ^ [] : [-(_145728 = sdtasdt0(sz10, _145728))]]], (222 ^ _138860) ^ [_146001] : [aNaturalNumber0(_146001), 225 ^ _138860 : [(226 ^ _138860) ^ [] : [-(sdtasdt0(_146001, sz00) = sz00)], (228 ^ _138860) ^ [] : [-(sz00 = sdtasdt0(sz00, _146001))]]], (230 ^ _138860) ^ [_146302, _146304, _146306] : [241 ^ _138860 : [(242 ^ _138860) ^ [] : [-(sdtasdt0(_146306, sdtpldt0(_146304, _146302)) = sdtpldt0(sdtasdt0(_146306, _146304), sdtasdt0(_146306, _146302)))], (244 ^ _138860) ^ [] : [-(sdtasdt0(sdtpldt0(_146304, _146302), _146306) = sdtpldt0(sdtasdt0(_146304, _146306), sdtasdt0(_146302, _146306)))]], aNaturalNumber0(_146306), aNaturalNumber0(_146304), aNaturalNumber0(_146302)], (246 ^ _138860) ^ [_146849, _146851, _146853] : [259 ^ _138860 : [(260 ^ _138860) ^ [] : [sdtpldt0(_146853, _146851) = sdtpldt0(_146853, _146849)], (262 ^ _138860) ^ [] : [sdtpldt0(_146851, _146853) = sdtpldt0(_146849, _146853)]], -(_146851 = _146849), aNaturalNumber0(_146853), aNaturalNumber0(_146851), aNaturalNumber0(_146849)], (266 ^ _138860) ^ [_147426] : [aNaturalNumber0(_147426), -(_147426 = sz00), 273 ^ _138860 : [(274 ^ _138860) ^ [_147688, _147690] : [aNaturalNumber0(_147690), aNaturalNumber0(_147688), 283 ^ _138860 : [(284 ^ _138860) ^ [] : [sdtasdt0(_147426, _147690) = sdtasdt0(_147426, _147688)], (286 ^ _138860) ^ [] : [sdtasdt0(_147690, _147426) = sdtasdt0(_147688, _147426)]], -(_147690 = _147688)]]], (290 ^ _138860) ^ [_148199, _148201] : [aNaturalNumber0(_148201), aNaturalNumber0(_148199), sdtpldt0(_148201, _148199) = sz00, 301 ^ _138860 : [(302 ^ _138860) ^ [] : [-(_148201 = sz00)], (304 ^ _138860) ^ [] : [-(_148199 = sz00)]]], (306 ^ _138860) ^ [_148666, _148668] : [aNaturalNumber0(_148668), aNaturalNumber0(_148666), sdtasdt0(_148668, _148666) = sz00, -(_148668 = sz00), -(_148666 = sz00)], (324 ^ _138860) ^ [_149148, _149150] : [aNaturalNumber0(_149150), aNaturalNumber0(_149148), 331 ^ _138860 : [(332 ^ _138860) ^ [] : [sdtlseqdt0(_149150, _149148), 336 ^ _138860 : [(337 ^ _138860) ^ [] : [-(aNaturalNumber0(335 ^ [_149148, _149150]))], (339 ^ _138860) ^ [] : [-(sdtpldt0(_149150, 335 ^ [_149148, _149150]) = _149148)]]], (341 ^ _138860) ^ [] : [-(sdtlseqdt0(_149150, _149148)), 342 ^ _138860 : [(343 ^ _138860) ^ [_149708] : [aNaturalNumber0(_149708), sdtpldt0(_149150, _149708) = _149148]]]]], (351 ^ _138860) ^ [_149991, _149993] : [aNaturalNumber0(_149993), aNaturalNumber0(_149991), sdtlseqdt0(_149993, _149991), 362 ^ _138860 : [(363 ^ _138860) ^ [_150338] : [_150338 = sdtmndt0(_149991, _149993), 366 ^ _138860 : [(367 ^ _138860) ^ [] : [-(aNaturalNumber0(_150338))], (369 ^ _138860) ^ [] : [-(sdtpldt0(_149993, _150338) = _149991)]]], (371 ^ _138860) ^ [_150597] : [-(_150597 = sdtmndt0(_149991, _149993)), aNaturalNumber0(_150597), sdtpldt0(_149993, _150597) = _149991]]], (381 ^ _138860) ^ [_150919] : [aNaturalNumber0(_150919), -(sdtlseqdt0(_150919, _150919))], (387 ^ _138860) ^ [_151121, _151123] : [aNaturalNumber0(_151123), aNaturalNumber0(_151121), -(_151123 = _151121), sdtlseqdt0(_151123, _151121), sdtlseqdt0(_151121, _151123)], (405 ^ _138860) ^ [_151610, _151612, _151614] : [aNaturalNumber0(_151614), aNaturalNumber0(_151612), aNaturalNumber0(_151610), -(sdtlseqdt0(_151614, _151610)), sdtlseqdt0(_151614, _151612), sdtlseqdt0(_151612, _151610)], (427 ^ _138860) ^ [_152196, _152198] : [aNaturalNumber0(_152198), aNaturalNumber0(_152196), -(sdtlseqdt0(_152198, _152196)), 438 ^ _138860 : [(439 ^ _138860) ^ [] : [_152196 = _152198], (441 ^ _138860) ^ [] : [-(sdtlseqdt0(_152196, _152198))]]], (443 ^ _138860) ^ [_152659, _152661] : [aNaturalNumber0(_152661), aNaturalNumber0(_152659), -(_152661 = _152659), sdtlseqdt0(_152661, _152659), 458 ^ _138860 : [(459 ^ _138860) ^ [_153103] : [aNaturalNumber0(_153103), 462 ^ _138860 : [(463 ^ _138860) ^ [] : [sdtpldt0(_153103, _152661) = sdtpldt0(_153103, _152659)], (465 ^ _138860) ^ [] : [-(sdtlseqdt0(sdtpldt0(_153103, _152661), sdtpldt0(_153103, _152659)))], (467 ^ _138860) ^ [] : [sdtpldt0(_152661, _153103) = sdtpldt0(_152659, _153103)], (469 ^ _138860) ^ [] : [-(sdtlseqdt0(sdtpldt0(_152661, _153103), sdtpldt0(_152659, _153103)))]]]]], (471 ^ _138860) ^ [_153627, _153629, _153631] : [aNaturalNumber0(_153631), aNaturalNumber0(_153629), aNaturalNumber0(_153627), 494 ^ _138860 : [(495 ^ _138860) ^ [] : [sdtasdt0(_153631, _153629) = sdtasdt0(_153631, _153627)], (497 ^ _138860) ^ [] : [-(sdtlseqdt0(sdtasdt0(_153631, _153629), sdtasdt0(_153631, _153627)))], (499 ^ _138860) ^ [] : [sdtasdt0(_153629, _153631) = sdtasdt0(_153627, _153631)], (501 ^ _138860) ^ [] : [-(sdtlseqdt0(sdtasdt0(_153629, _153631), sdtasdt0(_153627, _153631)))]], -(_153631 = sz00), -(_153629 = _153627), sdtlseqdt0(_153629, _153627)], (503 ^ _138860) ^ [_154577] : [aNaturalNumber0(_154577), -(_154577 = sz00), -(_154577 = sz10), 514 ^ _138860 : [(515 ^ _138860) ^ [] : [sz10 = _154577], (517 ^ _138860) ^ [] : [-(sdtlseqdt0(sz10, _154577))]]], (519 ^ _138860) ^ [_155025, _155027] : [aNaturalNumber0(_155027), aNaturalNumber0(_155025), -(_155027 = sz00), -(sdtlseqdt0(_155025, sdtasdt0(_155025, _155027)))], (533 ^ _138860) ^ [_155420, _155422] : [aNaturalNumber0(_155422), aNaturalNumber0(_155420), iLess0(_155422, _155420), true___, -(true___)], (551 ^ _138860) ^ [_155880, _155882] : [aNaturalNumber0(_155882), aNaturalNumber0(_155880), -(iLess0(_155882, _155880)), -(_155882 = _155880), sdtlseqdt0(_155882, _155880)], (569 ^ _138860) ^ [_156358, _156360] : [aNaturalNumber0(_156360), aNaturalNumber0(_156358), 576 ^ _138860 : [(577 ^ _138860) ^ [] : [doDivides0(_156360, _156358), 581 ^ _138860 : [(582 ^ _138860) ^ [] : [-(aNaturalNumber0(580 ^ [_156358, _156360]))], (584 ^ _138860) ^ [] : [-(_156358 = sdtasdt0(_156360, 580 ^ [_156358, _156360]))]]], (586 ^ _138860) ^ [] : [-(doDivides0(_156360, _156358)), 587 ^ _138860 : [(588 ^ _138860) ^ [_156918] : [aNaturalNumber0(_156918), _156358 = sdtasdt0(_156360, _156918)]]]]], (596 ^ _138860) ^ [_157201, _157203] : [aNaturalNumber0(_157203), aNaturalNumber0(_157201), -(_157203 = sz00), doDivides0(_157203, _157201), 611 ^ _138860 : [(612 ^ _138860) ^ [_157640] : [_157640 = sdtsldt0(_157201, _157203), 615 ^ _138860 : [(616 ^ _138860) ^ [] : [-(aNaturalNumber0(_157640))], (618 ^ _138860) ^ [] : [-(_157201 = sdtasdt0(_157203, _157640))]]], (620 ^ _138860) ^ [_157899] : [-(_157899 = sdtsldt0(_157201, _157203)), aNaturalNumber0(_157899), _157201 = sdtasdt0(_157203, _157899)]]], (630 ^ _138860) ^ [_158251, _158253, _158255] : [aNaturalNumber0(_158255), aNaturalNumber0(_158253), aNaturalNumber0(_158251), -(doDivides0(_158255, _158251)), doDivides0(_158255, _158253), doDivides0(_158253, _158251)], (652 ^ _138860) ^ [_158851, _158853, _158855] : [aNaturalNumber0(_158855), aNaturalNumber0(_158853), aNaturalNumber0(_158851), -(doDivides0(_158855, sdtpldt0(_158853, _158851))), doDivides0(_158855, _158853), doDivides0(_158855, _158851)], (674 ^ _138860) ^ [_159457, _159459, _159461] : [aNaturalNumber0(_159461), aNaturalNumber0(_159459), aNaturalNumber0(_159457), -(doDivides0(_159461, _159457)), doDivides0(_159461, _159459), doDivides0(_159461, sdtpldt0(_159459, _159457))], (696 ^ _138860) ^ [_160049, _160051] : [aNaturalNumber0(_160051), aNaturalNumber0(_160049), -(sdtlseqdt0(_160051, _160049)), doDivides0(_160051, _160049), -(_160049 = sz00)], (714 ^ _138860) ^ [_160527, _160529] : [aNaturalNumber0(_160529), aNaturalNumber0(_160527), -(_160529 = sz00), doDivides0(_160529, _160527), 729 ^ _138860 : [(730 ^ _138860) ^ [_160937] : [aNaturalNumber0(_160937), -(sdtasdt0(_160937, sdtsldt0(_160527, _160529)) = sdtsldt0(sdtasdt0(_160937, _160527), _160529))]]], (736 ^ _138860) ^ [_161178] : [aNaturalNumber0(_161178), 739 ^ _138860 : [(762 ^ _138860) ^ [] : [-(isPrime0(_161178)), -(_161178 = sz00), -(_161178 = sz10), 772 ^ _138860 : [(773 ^ _138860) ^ [] : [-(aNaturalNumber0(771 ^ [_161178]))], (775 ^ _138860) ^ [] : [-(doDivides0(771 ^ [_161178], _161178))], (777 ^ _138860) ^ [] : [771 ^ [_161178] = sz10], (779 ^ _138860) ^ [] : [771 ^ [_161178] = _161178]]], (740 ^ _138860) ^ [] : [isPrime0(_161178), 743 ^ _138860 : [(744 ^ _138860) ^ [] : [_161178 = sz00], (746 ^ _138860) ^ [] : [_161178 = sz10], (748 ^ _138860) ^ [_161570] : [aNaturalNumber0(_161570), doDivides0(_161570, _161178), -(_161570 = sz10), -(_161570 = _161178)]]]]], (783 ^ _138860) ^ [_162522] : [795 ^ _138860 : [(796 ^ _138860) ^ [] : [-(aNaturalNumber0(794 ^ [_162522]))], (798 ^ _138860) ^ [] : [-(doDivides0(794 ^ [_162522], _162522))], (800 ^ _138860) ^ [] : [-(isPrime0(794 ^ [_162522]))]], aNaturalNumber0(_162522), -(_162522 = sz00), -(_162522 = sz10)], (802 ^ _138860) ^ [] : [-(aNaturalNumber0(xn))], (804 ^ _138860) ^ [] : [-(aNaturalNumber0(xm))], (806 ^ _138860) ^ [] : [-(aNaturalNumber0(xp))], (910 ^ _138860) ^ [] : [-(aNaturalNumber0(908 ^ []))], (912 ^ _138860) ^ [] : [-(sdtpldt0(xp, 908 ^ []) = xn)], (914 ^ _138860) ^ [] : [-(sdtlseqdt0(xp, xn))], (916 ^ _138860) ^ [] : [-(aNaturalNumber0(xr))], (918 ^ _138860) ^ [] : [-(sdtpldt0(xp, xr) = xn)], (920 ^ _138860) ^ [] : [-(xr = sdtmndt0(xn, xp))], (922 ^ _138860) ^ [] : [xr = xn], (925 ^ _138860) ^ [] : [-(aNaturalNumber0(923 ^ []))], (927 ^ _138860) ^ [] : [-(sdtpldt0(xr, 923 ^ []) = xn)], (929 ^ _138860) ^ [] : [-(sdtlseqdt0(xr, xn))], (932 ^ _138860) ^ [] : [-(aNaturalNumber0(930 ^ []))], (934 ^ _138860) ^ [] : [-(sdtasdt0(xr, xm) = sdtasdt0(xp, 930 ^ []))], (936 ^ _138860) ^ [] : [-(doDivides0(xp, sdtasdt0(xr, xm)))], (938 ^ _138860) ^ [] : [sdtpldt0(sdtpldt0(xr, xm), xp) = sdtpldt0(sdtpldt0(xn, xm), xp)], (941 ^ _138860) ^ [] : [-(aNaturalNumber0(939 ^ []))], (943 ^ _138860) ^ [] : [-(sdtpldt0(sdtpldt0(sdtpldt0(xr, xm), xp), 939 ^ []) = sdtpldt0(sdtpldt0(xn, xm), xp))], (945 ^ _138860) ^ [] : [-(sdtlseqdt0(sdtpldt0(sdtpldt0(xr, xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp)))], (876 ^ _138860) ^ [] : [xp = sz00], (878 ^ _138860) ^ [] : [xp = sz10], (900 ^ _138860) ^ [] : [-(isPrime0(xp))], (903 ^ _138860) ^ [] : [-(aNaturalNumber0(901 ^ []))], (905 ^ _138860) ^ [] : [-(sdtasdt0(xn, xm) = sdtasdt0(xp, 901 ^ []))], (907 ^ _138860) ^ [] : [-(doDivides0(xp, sdtasdt0(xn, xm)))], (880 ^ _138860) ^ [_165800] : [-(_165800 = sz10), -(_165800 = xp), aNaturalNumber0(_165800), 885 ^ _138860 : [(892 ^ _138860) ^ [] : [doDivides0(_165800, xp)], (886 ^ _138860) ^ [_166003] : [aNaturalNumber0(_166003), xp = sdtasdt0(_165800, _166003)]]], (808 ^ _138860) ^ [_163289, _163291, _163293] : [aNaturalNumber0(_163293), aNaturalNumber0(_163291), aNaturalNumber0(_163289), iLess0(sdtpldt0(sdtpldt0(_163293, _163291), _163289), sdtpldt0(sdtpldt0(xn, xm), xp)), 862 ^ _138860 : [(863 ^ _138860) ^ [] : [-(aNaturalNumber0(861 ^ [_163289, _163291, _163293]))], (865 ^ _138860) ^ [] : [-(_163293 = sdtasdt0(_163289, 861 ^ [_163289, _163291, _163293]))], (867 ^ _138860) ^ [] : [-(doDivides0(_163289, _163293))]], 869 ^ _138860 : [(870 ^ _138860) ^ [] : [-(aNaturalNumber0(868 ^ [_163289, _163291, _163293]))], (872 ^ _138860) ^ [] : [-(_163291 = sdtasdt0(_163289, 868 ^ [_163289, _163291, _163293]))], (874 ^ _138860) ^ [] : [-(doDivides0(_163289, _163291))]], 847 ^ _138860 : [(854 ^ _138860) ^ [] : [doDivides0(_163289, sdtasdt0(_163293, _163291))], (848 ^ _138860) ^ [_164710] : [aNaturalNumber0(_164710), sdtasdt0(_163293, _163291) = sdtasdt0(_163289, _164710)]], 823 ^ _138860 : [(846 ^ _138860) ^ [] : [isPrime0(_163289)], (824 ^ _138860) ^ [] : [-(_163289 = sz00), -(_163289 = sz10), 832 ^ _138860 : [(833 ^ _138860) ^ [] : [-(aNaturalNumber0(831 ^ [_163289, _163291, _163293]))], (836 ^ _138860) ^ [] : [-(aNaturalNumber0(834 ^ [_163289, _163291, _163293]))], (838 ^ _138860) ^ [] : [-(_163289 = sdtasdt0(831 ^ [_163289, _163291, _163293], 834 ^ [_163289, _163291, _163293]))], (840 ^ _138860) ^ [] : [-(doDivides0(831 ^ [_163289, _163291, _163293], _163289))], (842 ^ _138860) ^ [] : [831 ^ [_163289, _163291, _163293] = sz10], (844 ^ _138860) ^ [] : [831 ^ [_163289, _163291, _163293] = _163289]]]]]], input).
% 1.90/2.41 ncf('1',plain,[sdtpldt0(sdtpldt0(xr, xm), xp) = sdtpldt0(sdtpldt0(xn, xm), xp)],start(938 ^ 0)).
% 1.90/2.41 ncf('1.1',plain,[-(sdtpldt0(sdtpldt0(xr, xm), xp) = sdtpldt0(sdtpldt0(xn, xm), xp)), aNaturalNumber0(sdtpldt0(sdtpldt0(xr, xm), xp)), aNaturalNumber0(sdtpldt0(sdtpldt0(xn, xm), xp)), -(iLess0(sdtpldt0(sdtpldt0(xr, xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp))), sdtlseqdt0(sdtpldt0(sdtpldt0(xr, xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp))],extension(551 ^ 1,bind([[_155880, _155882], [sdtpldt0(sdtpldt0(xn, xm), xp), sdtpldt0(sdtpldt0(xr, xm), xp)]]))).
% 1.90/2.41 ncf('1.1.1',plain,[-(aNaturalNumber0(sdtpldt0(sdtpldt0(xr, xm), xp))), aNaturalNumber0(sdtpldt0(xr, xm)), aNaturalNumber0(xp)],extension(138 ^ 2,bind([[_143389, _143391], [xp, sdtpldt0(xr, xm)]]))).
% 1.90/2.41 ncf('1.1.1.1',plain,[-(aNaturalNumber0(sdtpldt0(xr, xm))), aNaturalNumber0(xr), aNaturalNumber0(xm)],extension(138 ^ 3,bind([[_143389, _143391], [xm, xr]]))).
% 1.90/2.41 ncf('1.1.1.1.1',plain,[-(aNaturalNumber0(xr))],extension(916 ^ 4)).
% 1.90/2.41 ncf('1.1.1.1.2',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 4)).
% 1.90/2.41 ncf('1.1.1.2',plain,[-(aNaturalNumber0(xp))],extension(806 ^ 3)).
% 1.90/2.41 ncf('1.1.2',plain,[-(aNaturalNumber0(sdtpldt0(sdtpldt0(xn, xm), xp))), aNaturalNumber0(sdtpldt0(xn, xm)), aNaturalNumber0(xp)],extension(138 ^ 2,bind([[_143389, _143391], [xp, sdtpldt0(xn, xm)]]))).
% 1.90/2.41 ncf('1.1.2.1',plain,[-(aNaturalNumber0(sdtpldt0(xn, xm))), aNaturalNumber0(xn), aNaturalNumber0(xm)],extension(138 ^ 3,bind([[_143389, _143391], [xm, xn]]))).
% 1.90/2.41 ncf('1.1.2.1.1',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 4)).
% 1.90/2.41 ncf('1.1.2.1.2',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 4)).
% 1.90/2.41 ncf('1.1.2.2',plain,[-(aNaturalNumber0(xp))],extension(806 ^ 3)).
% 1.90/2.41 ncf('1.1.3',plain,[iLess0(sdtpldt0(sdtpldt0(xr, xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp)), aNaturalNumber0(xr), aNaturalNumber0(xm), aNaturalNumber0(xp), 867 : -(doDivides0(xp, xr)), 874 : -(doDivides0(xp, xm)), 854 : doDivides0(xp, sdtasdt0(xr, xm)), 846 : isPrime0(xp)],extension(808 ^ 2,bind([[_163289, _163291, _163293], [xp, xm, xr]]))).
% 1.90/2.41 ncf('1.1.3.1',plain,[-(aNaturalNumber0(xr)), 363 : xr = sdtmndt0(xn, xp), 363 : aNaturalNumber0(xp), 363 : aNaturalNumber0(xn), 363 : sdtlseqdt0(xp, xn)],extension(351 ^ 3,bind([[_149991, _149993, _150338], [xn, xp, xr]]))).
% 1.90/2.41 ncf('1.1.3.1.1',plain,[-(xr = sdtmndt0(xn, xp))],extension(920 ^ 6)).
% 1.90/2.41 ncf('1.1.3.1.2',plain,[-(aNaturalNumber0(xp))],extension(806 ^ 4)).
% 1.90/2.41 ncf('1.1.3.1.3',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 4)).
% 1.90/2.41 ncf('1.1.3.1.4',plain,[-(sdtlseqdt0(xp, xn))],extension(914 ^ 4)).
% 1.90/2.41 ncf('1.1.3.2',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 3)).
% 1.90/2.41 ncf('1.1.3.3',plain,[-(aNaturalNumber0(xp))],extension(806 ^ 3)).
% 1.90/2.41 ncf('1.1.3.4',plain,[doDivides0(xp, xr)],extension(953 ^ 5)).
% 1.90/2.41 ncf('1.1.3.5',plain,[doDivides0(xp, xm)],extension(961 ^ 5)).
% 1.90/2.41 ncf('1.1.3.6',plain,[-(doDivides0(xp, sdtasdt0(xr, xm)))],extension(936 ^ 5)).
% 1.90/2.41 ncf('1.1.3.7',plain,[-(isPrime0(xp))],extension(900 ^ 5)).
% 1.90/2.41 ncf('1.1.4',plain,[-(sdtlseqdt0(sdtpldt0(sdtpldt0(xr, xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp))), 459 : aNaturalNumber0(xp), 459 : aNaturalNumber0(sdtpldt0(xr, xm)), 459 : aNaturalNumber0(sdtpldt0(xn, xm)), 459 : -(sdtpldt0(xr, xm) = sdtpldt0(xn, xm)), 459 : sdtlseqdt0(sdtpldt0(xr, xm), sdtpldt0(xn, xm))],extension(443 ^ 2,bind([[_152659, _152661, _153103], [sdtpldt0(xn, xm), sdtpldt0(xr, xm), xp]]))).
% 1.90/2.41 ncf('1.1.4.1',plain,[-(aNaturalNumber0(xp))],extension(806 ^ 5)).
% 1.90/2.41 ncf('1.1.4.2',plain,[-(aNaturalNumber0(sdtpldt0(xr, xm))), aNaturalNumber0(xr), aNaturalNumber0(xm)],extension(138 ^ 3,bind([[_143389, _143391], [xm, xr]]))).
% 1.90/2.41 ncf('1.1.4.2.1',plain,[-(aNaturalNumber0(xr))],extension(916 ^ 4)).
% 1.90/2.41 ncf('1.1.4.2.2',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 4)).
% 1.90/2.41 ncf('1.1.4.3',plain,[-(aNaturalNumber0(sdtpldt0(xn, xm))), aNaturalNumber0(xn), aNaturalNumber0(xm)],extension(138 ^ 3,bind([[_143389, _143391], [xm, xn]]))).
% 1.90/2.41 ncf('1.1.4.3.1',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 4)).
% 1.90/2.41 ncf('1.1.4.3.2',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 4)).
% 1.90/2.41 ncf('1.1.4.4',plain,[sdtpldt0(xr, xm) = sdtpldt0(xn, xm), -(xr = xn), aNaturalNumber0(xm), aNaturalNumber0(xr), aNaturalNumber0(xn)],extension(246 ^ 3,bind([[_146849, _146851, _146853], [xn, xr, xm]]))).
% 1.90/2.41 ncf('1.1.4.4.1',plain,[xr = xn],extension(922 ^ 4)).
% 1.90/2.41 ncf('1.1.4.4.2',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 4)).
% 1.90/2.41 ncf('1.1.4.4.3',plain,[-(aNaturalNumber0(xr))],extension(916 ^ 4)).
% 1.90/2.41 ncf('1.1.4.4.4',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 4)).
% 1.90/2.41 ncf('1.1.4.5',plain,[-(sdtlseqdt0(sdtpldt0(xr, xm), sdtpldt0(xn, xm))), 459 : aNaturalNumber0(xm), 459 : aNaturalNumber0(xr), 459 : aNaturalNumber0(xn), 459 : -(xr = xn), 459 : sdtlseqdt0(xr, xn)],extension(443 ^ 3,bind([[_152659, _152661, _153103], [xn, xr, xm]]))).
% 1.90/2.41 ncf('1.1.4.5.1',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 6)).
% 1.90/2.41 ncf('1.1.4.5.2',plain,[-(aNaturalNumber0(xr))],extension(916 ^ 4)).
% 1.90/2.41 ncf('1.1.4.5.3',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 4)).
% 1.90/2.41 ncf('1.1.4.5.4',plain,[xr = xn],extension(922 ^ 4)).
% 1.90/2.41 ncf('1.1.4.5.5',plain,[-(sdtlseqdt0(xr, xn))],extension(929 ^ 4)).
% 1.90/2.41 %-----------------------------------------------------
% 1.90/2.41 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------